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Finding the Fourth Proportional to 100,702.69, 138,966.94 and 55,380.67

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Solution

The fourth proportional to 100,702.69, 138,966.94 and 55,380.67 is: 76,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.69 : 138,966.94 = 55,380.67 : x
  2. Step 2: Convert to fraction form
    100,702.69/138,966.94 = 55,380.67/x
  3. Step 3: Cross multiply
    100,702.69x = 138,966.94 × 55,380.67
  4. Step 4: Simplify right side
    100,702.69x = 7,696,082,245.05
  5. Step 5: Solve for x
    x = 7,696,082,245.05/100,702.69
  6. Step 6: Final answer
    x = 76,423.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.